Three-dimensional stagnation point flow of a second grade fluid towards a moving plate
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Hiemenz, 1911, Die Grenzschicht neinem in den gleichförmigen Flüssigkeitsstrom eingetauchten geraden Kreiszylinder, Dinglers Polyt. J., 326, 321
Homann, 1936, Der Einfluss grosser Zähigkeit bei der Strömung um den Zylinder und um die Kugel, ZAMM, 16, 153, 10.1002/zamm.19360160304
Howarth, 1951, The boundary layer in three-dimensional flow. Part II: The flow near a stagnation point, Philos. Mag., 42, 1433, 10.1080/14786445108560962
Davey, 1961, Boundary layer flow at a saddle point of attachment, J. Fluid Mech., 10, 593, 10.1017/S0022112061000391
Stuart, 1959, The viscous flow near a stagnation point when the external flow has uniform vorticity, J. Aero/Space Sci., 26, 124, 10.2514/8.7963
Tamada, 1979, Two-dimensional stagnation point flow impinging obliquely on a plane wall, J. Phys. Soc. Japan, 46, 310, 10.1143/JPSJ.46.310
Dorrepaal, 1986, An exact solution of the Navier–Stokes equation which describes non-orthogonal stagnation-point flow in two dimensions, J. Fluid Mech., 163, 141, 10.1017/S0022112086002240
Stuart, 1955, A solution of the Navier–Stokes and energy equations illustrating the response of skin friction and temperature of an infinite plate thermometer to fluctuations in the stream velocity, Proc. Roy. Soc. London A, 231, 116, 10.1098/rspa.1955.0160
Rott, 1956, Unsteady viscous flow in the vicinity of a stagnation point, Quart. Appl. Math., 13, 444, 10.1090/qam/74194
Glauert, 1956, The laminar boundary layer on oscillating plates and cylinders, J. Fluid Mech., 1, 97, 10.1017/S002211205600007X
Yang, 1958, Unsteady laminar boundary layers in an incompressible stagnation flow, J. Appl. Mech., 25, 421, 10.1115/1.4011851
Cheng, 1971, Nonsteady three-dimensional stagnation point flow, J. Appl. Mech., 38, 282, 10.1115/1.3408762
Wang, 1973, Axisymmetric stagnation flow towards a moving plate, AIChE J., 19, 1080, 10.1002/aic.690190540
Libby, 1974, Wall shear at a three-dimensional stagnation point with a moving wall, AIAA J., 12, 408, 10.2514/3.49255
Weidman, 1997, Axisymmetric stagnation point flow impinging on a transversely oscillating plate with suction, J. Eng. Math., 31, 305, 10.1023/A:1004211515780
Eswara, 1999, Effect of large injection rates on unsteady mixed convection flow at a three-dimensional stagnation point, Int. J. Non-Linear Mech., 34, 85, 10.1016/S0020-7462(98)00004-3
Srivastava, 1958, The flow of a non-Newtonian liquid near a stagnation point, ZAMP, 9, 80, 10.1007/BF01596862
Maiti, 1965, Axially-symmetric stagnation point flow of power law fluids, ZAMP, 16, 594, 10.1007/BF01590964
Rajeswari, 1962, Flow of a particular class of non-Newtonian visco-elastic and visco-inelastic fluids near a stagnation point, ZAMP, 13, 43, 10.1007/BF01600756
Beard, 1964, Elastico-viscous boundary layer flows. Part I. Two-dimensional flow near a stagnation point, Proc. Camb. Phil. Soc., 60, 667, 10.1017/S0305004100038147
Sarpkaya, 1971, Stagnation point flow of a second order viscoelastic fluid, Acta Mech., 11, 237, 10.1007/BF01176558
Soundalgekar, 1980, Heat transfer in stagnation point flow of an elastico-viscous fluid with variable temperature, Mech. Res. Comm., 7, 289, 10.1016/0093-6413(80)90064-6
Garg, 1990, Stagnation point flow of a non-Newtonian fluid, Mech. Res. Comm., 17, 415, 10.1016/0093-6413(90)90059-L
Massoudi, 1992, Heat transfer analysis of a viscoelastic fluid at a stagnation point, Mech. Res. Comm., 19, 129, 10.1016/0093-6413(92)90037-B
Garg, 1994, Heat transfer due to stagnation point flow of a non-Newtonian fluid, Acta Mech., 104, 159, 10.1007/BF01170062
Dorrepaal, 1992, The flow of a viscoelastic fluid near a point of re-attachment, ZAMP, 43, 708, 10.1007/BF00946258
Labropulu, 1993, Viscoelastic fluid flow impinging on a wall with suction or blowing, Mech. Res. Comm., 20, 143, 10.1016/0093-6413(93)90021-F
Ariel, 1994, Three dimensional stagnation point flow of a viscoelastic fluid, Mech. Res. Comm., 21, 389, 10.1016/0093-6413(94)90066-3
Ariel, 1995, Stagnation point flow of a viscoelastic fluid towards a moving plate, Int. J. Eng. Sci., 33, 1679, 10.1016/0020-7225(94)00074-T
Seshadri, 1997, Unsteady three-dimensional stagnation point flow of a viscoelastic fluid, Int. J. Eng. Sci., 35, 445, 10.1016/S0020-7225(96)00095-X
Ariel, 2002, On extra boundary condition in the stagnation point flow of a second grade fluid, Int. J. Eng. Sci., 40, 145, 10.1016/S0020-7225(01)00031-3
Mahapatra, 2004, Stagnation point flow of a viscoelastic fluid towards a stretching surface, Int. J. Non-Linear Mech., 39, 811, 10.1016/S0020-7462(03)00044-1
Labropulu, 2004, Unsteady oscillatory stagnation point flow of a viscoelastic fluid, Int. J. Eng. Sci., 42, 625, 10.1016/j.ijengsci.2003.09.004
W. Auzinger, G. Kneisl, O. Koch, E.B. Weinmüller, A solution routine for singular boundary value problems, Techn. Rep. ANUM Preprint Nr. 1/02, Inst. for Appl. Math. and Numer. Anal., Vienna Univ. of Technology, Austria, 2002.
Truesdell, 1965, The non-linear field theories of mechanics, vol. 3
Rivlin, 1955, Stress deformation relations for isotropic materials, J. Rat. Mech. Anal., 4, 323
Dunn, 1974, Thermodynamics, stability and boundedness of fluids of complexity 2 and fluids of second grade, Arch. Rat. Mech. Anal., 56, 191, 10.1007/BF00280970
Rajagopal, 1981, The flow of a second order fluid between rotating parallel plates, J. Non-Newtonian Fluid Mech., 9, 185, 10.1016/0377-0257(87)87015-5
Rajagopal, 1984, On the creeping flow of the second order fluid, J. Non-Newtonian Fluid Mech., 15, 239, 10.1016/0377-0257(84)80008-7
Fosdick, 1979, Anomalous features in the model of second order fluids, Arch. Rat. Mech. Anal., 70, 145, 10.1007/BF00250351
Dunn, 1995, Fluids of differential type: critical review and thermodynamic analysis, Int. J. Eng. Sci., 33, 689, 10.1016/0020-7225(94)00078-X
Truesdell, 2000
Rajagopal, 1980, On a boundary layer theory for non-Newtonian fluids, Lett. Appl. Eng. Sci., 18, 875
Rajagopal, 1995, Boundary layers in non-linear fluids, Trends in applications of mathematics to mechanics, vol. 77, 209